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Factorización para 1er año

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Test de factorización básica

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El Salvador

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Factorización para 1er año
 

Factorización para 1er añoOnline version

Test de factorización básica

by Cecilia Gabriela Cortez Nochez
1

Factoriza: x^2 - 9.

2

Factoriza: x^2 + 5x + 6.

3

Factoriza: 3x^2 + 6x.

4

Factoriza: 2x^2 - 8x.

5

Usando el método de tijeras, factoriza: x^2 - 7x + 12.

6

Factoriza: x^2 + 4x - 5.

7

Trinomio cuadrado perfecto: x^2 + 6x + 9. ¿Cuál es su factorización?

8

Otro trinomio cuadrado perfecto: x^2 - 8x + 16. ¿Qué forma tiene?

9

Factoriza: 6x^2 + 9x.

10

Factoriza: 4x^2 + 4x.

Explicación

Es diferencia de cuadrados: a^2-b^2=(a-b)(a+b).

Buscar dos números que multiplicados den 6 y sumen 5.

Factor común 3x. El paréntesis queda x+2.

Factor común 2x: 2x(x-4).

Buscamos dos números que multiplican 12 y suman 7; 3 y 4.

Para ax^2+bx+c, busca factores de c que den b.

X^2+6x+9 = (x+3)(x+3) = (x+3)^2.

x^2-8x+16 = (x-4)^2.

Factor común 3x: 3x(2x+3).

Factor común 4x: 4x(x+1).

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